111422165556240 has 5760 divisors, whose sum is σ = 550557402071040. Its totient is φ = 19619905536000.

The previous prime is 111422165556161. The next prime is 111422165556319. The reversal of 111422165556240 is 42655561224111.

111422165556240 is a `hidden beast` number, since 1 + 1 + 1 + 4 + 2 + 2 + 16 + 5 + 5 + 5 + 624 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (111422165556161) and next prime (111422165556319).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 433549282192 + ... + 433549282448.

It is an arithmetic number, because the mean of its divisors is an integer number (95582882304).

Almost surely, 2^{111422165556240} is an apocalyptic number.

111422165556240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111422165556240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275278701035520).

111422165556240 is an abundant number, since it is smaller than the sum of its proper divisors (439135236514800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

111422165556240 is a wasteful number, since it uses less digits than its factorization.

111422165556240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 111422165556240 in words is "one hundred eleven trillion, four hundred twenty-two billion, one hundred sixty-five million, five hundred fifty-six thousand, two hundred forty".